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Total Residue Flowrate of Distillation Column from Overall and Component Material Balance Calculator

Residue Flowrate Formula:

\[ W = \frac{D \times (x_D - x_F)}{(x_F - x_W)} \]

mol/s

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1. What is Residue Flowrate in Distillation?

Definition: The residue flowrate (W) is the amount of moles of bottom liquid product flowing out from the distillation column per unit time.

Purpose: This calculation is essential for designing and operating distillation columns in chemical processes.

2. How Does the Calculator Work?

The calculator uses the material balance formula:

\[ W = \frac{D \times (x_D - x_F)}{(x_F - x_W)} \]

Where:

Explanation: The formula is derived from component and overall material balances around the distillation column.

3. Importance of Residue Flowrate Calculation

Details: Accurate calculation ensures proper column design, energy efficiency, and product quality control in separation processes.

4. Using the Calculator

Tips: Enter the distillate flowrate (mol/s) and mole fractions (0-1) for distillate, feed, and residue. All values must be valid (denominator cannot be zero).

5. Frequently Asked Questions (FAQ)

Q1: What's the typical range for mole fractions?
A: Mole fractions range from 0 to 1, with x_D typically highest and x_W lowest for the more volatile component.

Q2: Why can't x_F equal x_W?
A: If x_F = x_W, the denominator becomes zero, meaning no separation is occurring in the column.

Q3: What units should I use for flowrates?
A: The calculator uses mol/s, but any consistent molar flow unit will work as the formula is ratio-based.

Q4: How does this relate to the overall material balance?
A: The overall balance is F = D + W, where F is feed flowrate. This calculator helps determine W when D is known.

Q5: What if I get negative results?
A: Negative results indicate invalid input combinations where x_D < x_F < x_W, which violates distillation principles.

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